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arXiv · 1108.6301

Box of Ideal Gas in Free Fall

Dawood Kothawala
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Abstract

We study the \textit{quantum} partition function of non-relativistic, ideal gas in a (non-cubical) box falling freely in arbitrary curved spacetime with centre 4-velocity u^a. When perturbed energy eigenvalues are properly taken into account, we find that corrections to various thermodynamic quantities include a very specific, sub-dominant term which is independent of \textit{kinematic} details such as box dimensions and mass of particles. This term is characterized by the dimensionless quantity, Ξ=R_00 Λ^2, where R_00=R_ab u^a u^b and Λ=β\hbar c, and, quite intriguingly, produces Euler relation of homogeneity two between entropy and energy -- a relation familiar from black hole thermodynamics.

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Dawood Kothawala. 2013-02-27. Box of Ideal Gas in Free Fall. https://doi.org/10.1016/j.physletb.2013.02.035

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